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Finding the Fourth Proportional to 3,459.21, 5,207.28 and 3,102

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Solution

The fourth proportional to 3,459.21, 5,207.28 and 3,102 is: 4,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.21 : 5,207.28 = 3,102 : x
  2. Step 2: Convert to fraction form
    3,459.21/5,207.28 = 3,102/x
  3. Step 3: Cross multiply
    3,459.21x = 5,207.28 × 3,102
  4. Step 4: Simplify right side
    3,459.21x = 16,152,982.56
  5. Step 5: Solve for x
    x = 16,152,982.56/3,459.21
  6. Step 6: Final answer
    x = 4,669.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.